A lift has a notice expressing that the greatest limit is

1272

lb8

passengers. So,

8

grown-up male travelers can have a mean load of up to

1272/8=159 pounds.

On the off chance that the lift is stacked with

8

grown-up male travelers, discover the likelihood that it is over-burden since they have a mean weight more noteworthy than

159

lb. (Assume that loads of guys are typically dispersed with a mean of

167 lb

also, a standard deviation of

30 lb.)

Does this lift appear to be safe?

Would you be able to assist me with tackling this with a TI 84? Im attempting to utilize the "normalcdf" work

A school educator asserts that the entering class this year has all the earmarks of being more astute than entering classes from earlier years. He tests an irregular example of 16 of the current year's entering understudies and finds that their mean IQ score is 116, with a standard deviation of 15. The school records demonstrate that the mean IQ score for entering understudies from earlier years is 112. On the off chance that we accept that the IQ scores of the current year's entering class are typically circulated, is there sufficient proof to finish up, at the 0.05 degree of importance, that the mean IQ score, , of the current year's class is more prominent than that of earlier years?

Play out a one-followed test and answer questions.

Convey your middle calculations to at any rate three decimal places and round your answers.

The invalid theory:

H0:

The elective theory:

H1:

The kind of test measurement:

(Pick one) Z t Chi square F

The worth of the test measurement:

(Round to at any rate three decimal spots.)

The basic worth at the

0.05

level of importance:

(Round to at any rate three decimal spots.)

Would we be able to close, utilizing the 0.05 degree of importance, that the mean IQ score of the current year's class is more noteworthy than that of earlier years?

Indeed

No

A bike drives from Buendia to Quiapo and back utilizing a similar course regular. There are four stoplights on the course.

Allow x to indicate the quantity of red lights the bike experiences going from Beundia to Quiapo and y signify the number experienced on the bring trip back. Information gathered over an extensive stretch propose that the joint likelihood appropriation for (x, y) is given by

x

y

0

1

2

3

4

0

0.01

0.01

0.03

0.07

0.01

1

0.03

0.05

0.08

0.03

0.02

2

0.03

0.11

0.15

0.01

0.01

3

0.02

0.07

0.1

0.03

0.01

4

0.01

0.06

0.03

0.01

0.01

(a) Give the negligible likelihood conveyance of fx (0).

(b) Give the negligible likelihood conveyance of fy (3).

(c) Give the contingent thickness dissemination of X=3 given Y = 3.

(d) Give E(X).

(e) Give E(Y).

(f) Give E(X| Y = 3).

(g) Give the standard deviation of Y.

A cruiser drives from Welcome Rotonda to Fairview and back utilizing a similar course ordinary. There are four stoplights on the course.

Allow x to indicate the quantity of red lights the bike experiences going from Welcome Rotonda to Fairview and y signify the number experienced on the bring trip back. Information gathered over a significant stretch propose that the joint likelihood dispersion for (x, y) is given by

x

y

0

1

2

3

4

0

0.01

0.01

0.03

0.07

0.01

1

0.03

0.05

0.08

0.03

0.02

2

0.03

0.11

0.15

0.01

0.01

3

0.02

0.07

0.1

0.03

0.01

4

0.01

0.06

0.03

0.01

0.01

(a) Give the minor likelihood dissemination of fx (0). Answer=

(b) Give the minor likelihood dissemination of fy (3). Answer=

(c) Give the restrictive thickness conveyance of X=3 given Y = 3. Answer=

(d) Give E(X). Answer=

(e) Give E(Y). Answer=

(f) Give E(X| Y = 3). Answer=

i16i

(g) Give the standard deviation of Y. Answer=

*Complete the translation of the information.

As the quantity of from Welcome Rotonda to Fairview experienced by the cruiser builds, the quantity of stoplights of its return trip tends to (increment, decline, or be uncorrelated). Subsequently, X and Y have a (zero, negative, or positive) covariance. The covariance was determined to be (mathematical worth) .

*Describe the relationship whether a solid, a feeble, or no.

X and Y have relationship.

What is the relationship esteem? =